Mathematical Concepts and Methods in Modern Biology

Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models, Second Edition offers a completely updated quantitative framework for analysing, predicting, and modulating the behaviour of complex biological systems. In 10 updated and 2 completely new chapters the book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. New mathematical modelling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modelling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. All computer codes and software manuals are updated to reflect the current status in the field. This book is a valuable resource for health professionals, scientists and researchers, students in algebraic biology, mathematical and computational biology, and all those who wish to broaden their knowledge in the allied field.

• Provides fully updated and expanded content, examples, exercises, and projects on modern discrete mathematics and algebraic statistics
• Includes updated computer codes and software manuals to reflect the current state of the field
• Prepares readers, through examples, exercises, and carefully selected projects, to transition successfully to engaging in student research and reading the research literature
• Introduces discrete and algebraic methods in the context of important questions from modern biology at a level requiring minimal mathematical background
• Emphasizes the use of specialized software as a necessary element of the modern biology skills set by integrating freely available applications and mainstream proprietary software in the presentation